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We study the simplest terms that need to be included in active field theories to couple them to external potentials. To do so, we consider active Brownian particles and implement a systematic perturbative expansion in the particle…

Statistical Mechanics · Physics 2026-04-21 Yariv Kafri , Julien Tailleur

We design 3D-printed motor-driven active particles and find that their dynamics can be characterized using the model of overdamped chiral active Brownian particles (ABPs), as demonstrated by measured angular statistics and translational…

Soft Condensed Matter · Physics 2025-02-28 Yuxuan Zhou , Maomao Ge , Ting Wang

Active particles which are self-propelled by converting energy into mechanical motion represent an expanding research realm in physics and chemistry. For micron-sized particles moving in a liquid ("microswimmers"), most of the basic…

Soft Condensed Matter · Physics 2020-02-19 Hartmut Löwen

Self-propelled particles possessing permanent magnetic dipole moments occur naturally in magnetotactic bacteria and in man-made systems like active colloids or micro-robots. Yet, the interplay between self-propulsion and anisotropic…

Soft Condensed Matter · Physics 2024-04-29 Maria Kelidou , Mohammad Fazelzadeh , Baptiste Parage , Sara Jabbari Farouji

We investigate the structural and dynamic properties of active Brownian particles (APs) confined within a soft annulus-shaped channel. Depending on the strength of the confinement and the P\'eclet number, we observe a novel re-entrant…

Soft Condensed Matter · Physics 2025-05-15 Timo Knippenberg , Ashreya Jayaram , Thomas Speck , Clemens Bechinger

Field-correlator method is used to calculate nonperturbative dynamics of quarks in a baryon. General expression for the 3q Green's function is obtained using Fock-Feynman-Schwinger (world-line) path integral formalism, where all dynamics is…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yu. A. Simonov

A canonical structure compatible with the action of the Lorentz group can be obtained considering the energy and time as conjugate variables of an extended phase space. Scalar probability waves, describing free relativistic particles, are…

Quantum Physics · Physics 2009-03-04 M. Grigorescu

The active Brownian particle (ABP) model is widely used to describe the dynamics of active matter systems, such as Janus microswimmers. In particular, the analytical expression for an ABP's mean-squared-displacement (MSD) is useful as it…

Soft Condensed Matter · Physics 2022-12-07 Maximilian Bailey , Alexander Sprenger , Fabio Grillo , Hartmut Löwen , Lucio Isa

We derive a mode-coupling theory (MCT) to describe the dynamics of tracer particles in dense systems of active Brownian particles (ABPs) in two spatial dimensions. The ABP undergo translational and rotational Brownian dynamics, and are…

Soft Condensed Matter · Physics 2021-11-03 Julian Reichert , Suvendu Mandal , Thomas Voigtmann

Homogeneous active Brownian particle (ABP) systems with purely repulsive interactions are considered to have simple phase behavior, but various physical attributes of active entities can lead to variation in the collective dynamics. Recent…

Soft Condensed Matter · Physics 2025-06-03 Monika Sanoria , Raghunath Chelakkot , Amitabha Nandi

Using Brownian dynamics simulations, we investigate the effects of confinement, adsorption on surfaces and ion-ion interactions on the response of confined electrolyte solutions to oscillating electric fields in the direction perpendicular…

Chemical Physics · Physics 2023-03-10 Thê Hoang Ngoc Minh , Gabriel Stoltz , Benjamin Rotenberg

Active-particle suspensions exhibit distinct polarization-density patterns in activity landscapes, even without anisotropic particle interactions. Such polarization without alignment forces is at work in motility-induced phase separation…

Soft Condensed Matter · Physics 2021-06-09 Nicola Andreas Söker , Sven Auschra , Viktor Holubec , Klaus Kroy , Frank Cichos

Based on Brownian Dynamics (BD) simulations, we study the dynamical self-assembly of active Brownian particles with dipole-dipole interactions, stemming from a permanent point dipole at the particle center. The propulsion direction of each…

Soft Condensed Matter · Physics 2021-06-09 Guo-Jun Liao , Carol K. Hall , Sabine H. L. Klapp

Considering the paradigmatic driven Brownian motion, we perform extensive numerical analysis on the performance of optimal linear-response processes far from equilibrium. We focus on the overdamped regime where exact optimal processes are…

Statistical Mechanics · Physics 2022-12-28 Lucas P. Kamizaki , Marcus V. S. Bonança , Sérgio R. muniz

Slender bodies capable of spontaneous motion in the absence of external actuation in an otherwise quiescent fluid are common in biological, physical and technological contexts. The interplay between the spontaneous fluid flow, Brownian…

Soft Condensed Matter · Physics 2015-08-13 Abhrajit Laskar , R. Adhikari

We examine the behavior of $n$ Brownian particles diffusing on the real line with bounded, measurable drift and bounded, piecewise continuous diffusion coefficients that depend on the current configuration of particles. Sufficient…

Probability · Mathematics 2010-10-19 Tomoyuki Ichiba , Ioannis Karatzas

Understanding microstructure in terms of closed-form expressions is an open challenge in nonequilibrium statistical physics. We propose a simple and generic method that combines particle-resolved simulations, deep neural networks and…

Soft Condensed Matter · Physics 2026-01-12 Writu Dasgupta , Suvendu Mandal , Aritra K. Mukhopadhyay , Benno Liebchen

The non-thermal nature of self-propelling colloids offers new insights into non-equilibrium physics. The central mathematical model to describe their trajectories is active Brownian motion, where a particle moves with a constant speed,…

We present a perspective of simple models of nonequilibrium directed transport described in terms of a Langevin equation formalism. We consider a Brownian particle under various circumstances and driven by thermal (equilibrium) and…

Statistical Mechanics · Physics 2024-06-04 J. Spiechowicz , J. Łuczka

A distinguishing feature of active particles is the nature of the non-equilibrium noise driving their dynamics. Control of these noise properties is, therefore, of both fundamental and applied interest. We demonstrate emergent tuning of the…

Soft Condensed Matter · Physics 2021-01-05 Aniruddh Murali , Pritha Dolai , Ashwini Krishna , K. Vijay Kumar , Shashi Thutupalli
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